Use our free GCF of Fractions Calculator tool to compute the GCF of 95/67, 209/89, 779/742 i.e 19/4424546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/67, 209/89, 779/742.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/67,209/89,779/742
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 95/67,209/89,779/742, numerators are 95,209,779
Denominators are 67,89,742
The GCF of 95,209,779 is 19 .
LCM of 67,89,742 is 4424546.
The greatest common factor of 95/67,209/89,779/742 = [GCF of 95,209,779]/[LCM of 67,89,742]= 19/4424546
Therefore, the GCF of 95/67,209/89,779/742 is 19/4424546.
To find the highest common factor of 95,209,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 209 are 1, 11, 19, 209
The factors of 779 are 1, 19, 41, 779
The HCF of 95,209,779 is 19.
Lets's calculate GCF of 95,209,779
19 | 95, 209, 779 |
5, 11, 41 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 209
:1,11,19,209
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 95,209,779 . The biggest common factor number is the GCF number.
So the greatest common factor 95,209,779 is 19.
Lets's calculate LCM of 67,89,742
Given numbers has no common factors except 1. So, there LCM is their product i.e 4424546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4424546
Therefore, the GCF of Fractions 95/67,209/89,779/742 is 19/4424546
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 67,89,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,89,742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,89,742) x common factors =1 x 1 = 1
LCM(67,89,742) = ( 67 × 89 × 742 ) / 1
LCM(67,89,742) = 4424546 / 1
LCM(67,89,742) = 4424546
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,209,779?
The HCF of 95,209,779 is 19
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 95/67, 209/89, 779/742?
Answer: GCF of Numerators as per given numbers 95/67, 209/89, 779/742 is
GCF of Numerators i.e. for 95,209,779 is 19
LCM of denominators i.e. for 67,89,742 is 4424546.
Thus, GCF of Fractions is 19/4424546.Finally, GCF of Fractions for 95/67, 209/89, 779/742 is 19/4424546.